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Simplifying 35 + 6c = 9(3c + -5) Reorder the terms: 35 + 6c = 9(-5 + 3c) 35 + 6c = (-5 * 9 + 3c * 9) 35 + 6c = (-45 + 27c) Solving 35 + 6c = -45 + 27c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-27c' to each side of the equation. 35 + 6c + -27c = -45 + 27c + -27c Combine like terms: 6c + -27c = -21c 35 + -21c = -45 + 27c + -27c Combine like terms: 27c + -27c = 0 35 + -21c = -45 + 0 35 + -21c = -45 Add '-35' to each side of the equation. 35 + -35 + -21c = -45 + -35 Combine like terms: 35 + -35 = 0 0 + -21c = -45 + -35 -21c = -45 + -35 Combine like terms: -45 + -35 = -80 -21c = -80 Divide each side by '-21'. c = 3.80952381 Simplifying c = 3.80952381
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